The velocity v of a particle at time t is given by v=at+bt+c where a,b and c are constants. The dimensions of a,b and c are respectively :
The correct option is B. LT−2,L and T.
According to the principle of dimensional homogenity
Dimension of v = dimension of at = dimension of bt+c
Dimension of a = [v][t]=LT−1T=[LT−2]
Dimension of b = [v][t]=[LT−1T]=[L]
Dimension of c = [t]=[T]